# integer

## Primary tabs

Synonym:
rational integer, $\mathbb{Z}$
Type of Math Object:
Definition
Major Section:
Reference
Groups audience:

## Mathematics Subject Classification

### also

I'd add a note about how (a,b) maps to a-b in the isomorphism.

### Zahlen

I would mention why Z is used to denote the integers. It was first used by Germans, since they call the set "Zahlen", which means "numbers".

### Re: Zahlen

Actually, the notation Z (along with similar use of Q,R and C) were introduced, or at least popularized, by Bourbaki.

### Re: Zahlen (and S(n))

The symmetric group on n symbols is written S(n). I vaguely remember
hearing once that the S does not stand for symmetry but actually
comes from spiegel (mirror in German). Is this right?